In order to ensure efficient usage of a server, it is necessary to estimate the mean number of concurrent users. According to records, the average number of concurrent users at 49 randomly selected times is 44, with a standard deviation 0 = 12. In this problem, we will use the hypothesis testing at the 2% significance level to determine if the sample data provide significant evidence that the mean number of concurrent users is greater than 41. Answer the following. A- State the null hypothesis. 3- State the alternative hypothesis, (2- Find the test statistic based on the sample data given in the problem, 0- Determine the acceptance region. Give your answer in interval notation. E- Based on the test statistic obtained from the sample, do we accept or reject the null hypothesis at a 2% level of significance? Why? TABLE A.4. Standard Normal distribution .0.2 =1,4 0003 DOCE 6809 8303 -3.3 10005 10005 0005 0004 08004 0004 -3.2 10906 DOOL JO00S -3.1 000S -3.0 0013 10013 0012 0012 0011 001 1 -2.9 10017 9016 8016 10015 0014 10014 -2.8 10026 10025 6024 0023 0023 10022 0021 .0021 18020 .0019 6031 0030 0029 -2.6 JO045 6041 0040 .0009 .0036 25 10062 0055 0054 0052 10051 0049 -24 0082 10080 007 10075 0073 0071 00 54 0066 -2.3 10102 0099 D09F 10004 009 -22 0139 20136 0132 0129 9125 0122 .0119 0116 .0110 -21 0179 0174 0170 0166 0167 0158 0154 0150 0145 0143 -20 022% 0222 0217 0212 0207 020 019 .0192 0183 .0183 -1.9 0256 0250 10744 0273 -1.8 035 0351 034 0336 0379 10322 .0314 -0294 -17 0-40 0302 -1.6 0548 0537 0526 0516 0505 10-195 -1.5 0413 0618 10406 0471 -1.4 0793 0778 079 0735 0721 0694 -1.3 10918 10901 0885 .0869 -1.2 .1131 1090 1075 1020 1003 -1.1 1357 SEED" -1314 1292 1271 .1251 .1230 .1210 .1190 .1170 -1.0 -1587 -1562 -1539 1515 .1469 .1446 .1423 1401 .1379 -0.9 1841 1814 178 1762 1736 1711 .1685 .1660 1635 1611 -0.B 2119 2090 2061 2033 2005 .1977 1949 .1922 1894 .1867 -0.P 2420 7189 2358 2296 2246 2236 2106 2177 12148 -0.6 2743 2709 2676 2643 2611 2578 .2546 .2514 2483 2451 -05 3085 3015 2981 7946 7912 2877 7810 12776 -0.4 3446 3409 3377 3336 3300 3264 3220 3192 3156 3121 20.3 3821 3783 3745 370 3520 3403 -0.2 4207 4168 4129 4090 4057 4013 .3974 3936 3897 3859 -0.1 4602 4562 4522 4404 .4364 4325 4286 4247 -0.0 5000 4960 4920 4840 4801 .4761 OTO 5040 5170 5160 5239 5270 5319 539 5438 5478 5517 5557 5506 5636 5675 5714 5793 .5832 5871 59 48 .6026 .8064 6103 6170 6217 6331 6-406 .6443 6517 0.4 8554 6591 6528 6700 6735 6772 6814 6879 .8915 6985 7015 3054 7088 .7123 .7157 7190 7224 7257 7291 7324 7357 7309 7422 .7454 .7496 7517 7519 07 .7611 7642 7673 7704 7734 ,7764 .7794 7823 7652 0.8 7891 .7910 7909 7947 7995 8023 .8051 .8078 8106 8133 0.9 8151 8186 8212 8264 8340 1.0 .8413 .8438 .8461 8485 8508 8554 8577 8599 8621 1.1 .8065 8708 8729 8745 8770 .8790 8810 B830 12 8949 8925 8962 .8900 8997 9015 1.3 9032 9040 9056 9090 9115 9131 .9147 9167 9177 9192 .9207 9222 9236 9251 9265 9279 .9292 9806 9319 15 .9345 19370 1.6 9457 .9:463 9474 9495 9505 .9515 .9525 9515 17 .9654 .9564 9591 .9599 .9808 .9616 3625 1.8 .9641 9549 9671 9686 .9693 9699 9706 1.9 .9713 .9713 9726 9730 9738 9744 .9750 .3756 5761 9767 20 .9772 .9778 9783 9788 9790 9798 .9803 .9608 9812 9817 21 .9821 .9826 9830 9838 9042 9646 .9850 2.2 0861 1864 9868 9871 9875 9678 .9881 .9684 9687 .9890 23 .9893 9596 9898 9901 990 9906 .9909 .9911 .9913 9916 14 .9918 9922 .9025 9927 9929 9931 9932 .9934 9936 25 .9938 .9910 9941 99-43 9945 .99-46 9948 .905 1 9057 2.6 .9953 .9955 9956 9957 9959 9960 .9961 .9962 .9963 99 27 9965 .9956 9037 19098 9969 9970 .9971 9972 .9973 9974 2.8 .9974 .9075 -9976 9977 9977 .9970 .9970 .9980 2.9 9981 9982 9983 9984 -9564 .9985 .9985 .9986 9986 3.0 9987 9987 9987 9968 9989 .9989 9890 9090 3.1 9090 9091 9091 9091 9092 .9992 .9092 .9992 9993 9593 3.2 9993 .9593 9954 9094 9594 .9984 .9995 9895 9095 3.3 9045 9945 9996 9996 9996 9996 .9996 9996 9997 3.4 .9097 .9097 9097 5997 .9997 .9097
